Please answer this question very urgent â ‹Q17 In the figure below, - Maths - Triangles

Question

Please answer this question very urgent

â€‹Q17 In the figure below, AL is perpendicular
to BC and CM is perpendicular to AB If CL = AL = 28 L, find MC/
AM

(A) 2 (B) 3 (C) 4 (D) Cannot be determined

Lovina Kansal · Accepted Answer

Dear student
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5a656dfe8848c%20png"
style="width: 267px; height: 225px;">
Let BL=1Then CL=AL=2   ∵AL=CL=2BLIn △ALB by pythagoras theorem
AB=AL2+BL2=22+12=5and In ALC by pythagoras theorem
AC=AL2+CL2=22+22=8=22Let AM=x
ThenIn AMC by pythagoras theorem
CM=AC2-AM2=222-x2=8-x2In △ALB and △MCB∠ALB=∠CMB    [each 90°]∠B=∠B   [Common]So, △ALB~△CMB   [By AA criteria]So, ALCM=LBMB=ABCB⇒ALCM=ABCB⇒AB×CM=CB×AL⇒5×8-x2=3×2⇒58-x2=36⇒8-x2=365⇒8-x2=7
2x2=0 8So, MCAM=8-x2x=8-0 80 8=7 20 8=9=3
Regards

Please answer this question..... very urgent. ​Q17. In the figure below, AL is perpendicular to BC and CM is perpendicular to AB. If CL = AL = 28 L, find MC/ AM (A) 2 (B) 3 (C) 4 (D) Cannot be determined

Please answer this question..... very urgent.

Q17. In the figure below, AL is perpendicular to BC and CM is perpendicular to AB. If CL = AL = 28 L, find MC/ AM

(A) 2 (B) 3 (C) 4 (D) Cannot be determined